The circle of fifths (https://en.wikipedia.org/wiki/Circle_of_fifths) is a very well-known concept in music. Slightly less known is the circle of thirds, or ladder of thirds. If you pick every second note from a diatonic scale, there will be an interval of a third between each adjacent note. In the ...

I want to add that by consonance and dissonance I mean in the relative sense such as mentioned in this very interesting article: https://en.wikipedia.org/wiki/Consonance_and_dissonance We must also remember that few musical intruments produce perfectly harmonic overtones. So depending on the instrum...

So, what conclusions can you draw from this table? Well, first of all, the 3 lower notes cause a major triad: root, major third and fifth. They sound very sweet together; they are a base in all Western music. All intervals are consonances. There are several frequency coincidences between these three...

Update: Changed the base frequency to 100 (from 440) for easier reading. Let's look at the frequencies of the notes involved in the tetrad 4:5:6:7 discussed above. Here is a table with the example frequencies 100, 125, 150 and 175 Hz. Each note has a fundamental (e.g. 100 Hz). This note has overtone...

Anyone interested in chords and frequencies mathematics, harmonics, etc. should read this article: https://en.wikipedia.org/wiki/Harmonic Here I will present a table, that is similar to one found in the above mentioned article, but here it will show what notes are actually contained in a single note...

Quite clearly in my opinion, the best sounding tetrad of the above is the one where the frequencies are related 4:5:6:7. These are pretty small numbers, which make the harmonics smooth. But look at the end of this discussion for the reason why I think this chord sounds so nice. From the root to the ...

OK, I measured a few harps at home, and here are the results. I included photos of the disassembled harps on top of a millimeter grid paper (mm hardly visible, cm clearly visible). Could be useful for finding placements of screwholes, cut-outs, rounded corners, or whatever. This is just a test and a...